Mathematics in Ancient and Medieval India c9.20

c9.20

( i ) Difference between two successive sines given in the table of sines was termed as *bhogya-khaṇḍa* by Bhāskara II. *Bhogya-khaṇḍas* are not equal to each other and the increment of the sine varies with the increment of the arc. Bhāskara II calculated the values of the *bhogya-khaṇḍas* from the *tātkālika-bhogya-khaṇḍa*¹. Śāstrī² pointed out that *tātkālika-bhogya-khaṇḍa* is the increment in the sine deflected in the direction of the tangent i.e. the instaneous motion of the sine.